{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "# Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 37
    },
    "id": "El49NgachrYj",
    "outputId": "867cd0cc-78dd-470c-c8d6-6b55d9daa8dd"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'1.8.1+cu102'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import torch\n",
    "torch.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "Dumky9Ut1vHJ"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import torch.distributions as td\n",
    "import matplotlib.pyplot as plt\n",
    "import torch.nn as nn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import namedtuple, OrderedDict, defaultdict\n",
    "from tqdm.auto import tqdm\n",
    "from itertools import chain\n",
    "from tabulate import tabulate\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append(\"../\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pathlib import Path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "WDWb-ohmPxy_"
   },
   "outputs": [],
   "source": [
    "from components import GenerativeModel, InferenceModel, VAE\n",
    "from data import load_mnist\n",
    "from hparams import load_cfg, make_args\n",
    "from main import make_state, get_batcher, validate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from analysis import compare_marginals, compare_samples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load model and data\n",
    "\n",
    "* Load hyperparameters\n",
    "* Load model state\n",
    "* Load MNIST data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_samples = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Overriding device to user choice cuda:1\n",
      "Overriding data_dir to user choice ../tmp\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Config(seed=13, data_dir='../tmp', batch_size=100, height=28, width=28, output_dir='trained_models/onehotcat//pleasant-disco-24', device='cuda:1', y_dim=0, z_dim=10, prior_z='onehotcat 1.0 0.0', hidden_dec_size=500, posterior_z='onehotcat 1.0 -10 10', hidden_enc_size=500, epochs=500, num_samples=100, gen_opt='adam', gen_lr=1e-05, gen_l2=0.0, gen_p_drop=0.0, inf_opt='adam', inf_lr=0.0001, inf_p_drop=0.1, inf_l2=1e-06, grad_clip=5.0, wandb_freq=10, project='iclr-submission', tqdm=False, cfg='cfg/iclr-onehotcat.json', prior_f='gibbs 0.0', prior_y='dirichlet 1.0', posterior_f='gibbs -10 10', posterior_y='dirichlet 1e-3 1e3', shared_enc_fy=True, mean_field=True, training_samples=1, lr_warmup=0, load_ckpt=None, reset_opt=False, exact_marginal=False, exact_KL_Y=False, use_self_critic=False, use_reward_standardisation=False, ppo_like_steps=0, gsp_cdf_samples=100, gsp_KL_samples=1)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_type = 'onehotcat'\n",
    "experiment = 'pleasant-disco-24'\n",
    "directory = f'../trained_models/{model_type}/{experiment}/'\n",
    "args = make_args(\n",
    "    load_cfg(\n",
    "        f\"{directory}/cfg.json\", \n",
    "        # use this to specify a decide for analysis\n",
    "        device='cuda:1',\n",
    "        # use this to change paths if you need\n",
    "        data_dir='../tmp',\n",
    "    )\n",
    ")\n",
    "args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PosixPath('pdfplots/onehotcat/pleasant-disco-24')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plots_dir = Path(f\"pdfplots/{model_type}/{experiment}\")\n",
    "plots_dir"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "plots_dir.mkdir(parents=True, exist_ok=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'cuda:1'"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "args.device"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "state = make_state(\n",
    "    args, \n",
    "    device=args.device, \n",
    "    # change this to .best if you want the best ckpt (rather than the last)\n",
    "    ckpt_path=f\"{directory}/ckpt.last\"\n",
    "    #ckpt_path=f\"{directory}/training.ckpt\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 845,
     "referenced_widgets": [
      "9049691356d04d3c9f79245a12e22c2d",
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      "a0cd4f136d48492ba89ddc256d21ec54",
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      "0b74813a212940708ccbe6dc9c353813",
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      "3e0fdd4d4d874e4ba72106d0ccfa263f",
      "3101e39990db4580877323e9ee2954ea",
      "fc73554bd1054f3b95d157ddaa22a8a9",
      "32dde89004e541a78ee6d35af5d3f14b",
      "05389b71a6b545cf9b61d9f63f79c894",
      "642b9f5fb1624f2c97344e8e7a6c5d20",
      "a9ff1ca678d44b0b96e0aea1541c8359",
      "9328008d582947ee9a7dddef3d6571da",
      "f839264c20cd46feb8ce184e87e85416",
      "8be95b95873544a79de9124a8ed267d8",
      "09a30ad3b16444309a2f2591382c5735"
     ]
    },
    "id": "lymJpzWjiAr2",
    "outputId": "346ad792-2d1a-45ca-a6ca-4a4cb59c5e3f"
   },
   "outputs": [],
   "source": [
    "train_loader, valid_loader, test_loader = load_mnist(\n",
    "    args.batch_size, \n",
    "    save_to=args.data_dir, \n",
    "    height=args.height, \n",
    "    width=args.width\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check the validation results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "449c2f5971f64a56b2331760fd46d703",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/50 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saved ckpt - Validation: nll=167.78 bpd=24.21\n"
     ]
    }
   ],
   "source": [
    "val_metrics = validate(state.vae, get_batcher(valid_loader, args), 1000, progressbar=True, compute_DR=True)\n",
    "print(f'Saved ckpt - Validation: nll={val_metrics[0]:.2f} bpd={val_metrics[1]:.2f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Samples from prior"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we draw some sampels from the generative model (via the prior) and anlyse the results. \n",
    "\n",
    "To help do it systematically, we use a KNN classifier trained on MNIST. This classifier achieves F1=95% on MNIST test set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "knn_model = pickle.load(open('knnclassifier.pickle', 'rb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "from analysis import collect_samples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we gather samples:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "prior, _ = collect_samples(\n",
    "    state.vae, \n",
    "    get_batcher(valid_loader, args), \n",
    "    args, \n",
    "    num_samples=1, \n",
    "    data_sample=True,\n",
    "    from_prior=True,\n",
    "    from_posterior=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(5000, 784)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_gen_prior = np.concatenate(prior['x'])\n",
    "x_gen_prior.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, we classify the model samples using a KNN classifier trained on (actual) MNIST."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "knn_pred = knn_model.predict(x_gen_prior)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "clustered = defaultdict(list)\n",
    "for x_, y_ in zip(x_gen_prior, knn_pred):\n",
    "    clustered[y_].append(x_)\n",
    "clustered = {cls: np.stack(digits) for cls, digits in clustered.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "p_emp = np.array([len(clustered.get(c, []))/x_gen_prior.shape[0] for c in range(10)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check a grid of plots with model samples grouped by predicted class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 100 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    10, 10, \n",
    "    figsize=(15, 10),\n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0},\n",
    ")\n",
    "for c in range(10):\n",
    "    axs[c, 0].imshow(clustered.get(c, np.zeros((1, 28 * 28))).mean(0).reshape(args.height, args.width), cmap='Greys')    \n",
    "    for i, k in enumerate(np.random.choice(len(clustered.get(c, [])), size=9)):\n",
    "        axs[c, i + 1].imshow(clustered[c][k].reshape(args.height, args.width), cmap='Greys')\n",
    "\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "#_ = fig.suptitle(r'Samples from prior clustered by KNN classifier with F1=95%')\n",
    "fig.savefig(plots_dir / 'prior-grid.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's group the model samples by predicted class and inspect a single 'marginal' plot per class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(clustered.get(c, np.zeros((1, 28 * 28))).mean(0).reshape(args.height, args.width), cmap='Greys')\n",
    "    axs[c // 5, c % 5].set_xlabel(f\"({c}) {p_emp[c] * 100:.2f}\") #set_title(f\"X'|X={c}\")\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "#for ax in axs.flat:\n",
    "#    ax.label_outer()\n",
    "#_ = fig.suptitle(r'Samples from prior clustered by KNN classifier with F1=95%')\n",
    "fig.savefig(plots_dir / 'prior-marginal.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dz90e7lyzOwe"
   },
   "source": [
    "# Training Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "id": "1BiQHIBHwJrr"
   },
   "outputs": [],
   "source": [
    "np_stats_tr = {k: np.array(v) for k, v in state.stats_tr.items()}\n",
    "np_stats_val = {k: np.array(v) for k, v in state.stats_val.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "def smooth(v, kernel_size=100):\n",
    "    if kernel_size is None:\n",
    "        return v\n",
    "    return np.convolve(v, np.ones(kernel_size)/kernel_size, 'valid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "-y3TFeJgwrbv",
    "outputId": "f6c5d3d2-0ea0-4e1b-f309-938be21c2d44",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0shgAElIWCN7atVp0Ab2GACBfYSCIiLKZQ3sOGQEA5EvmZlxkBACQL5lAsPHRnePLM0RGAABjkggE6x5+Wt8cfunWB7NmzdAZi48tfc3WlctLywDQL9oZWdzz7tjypEb3N04MWdK7T12oU185f8LX8eUPIAVJZATzXzZbWRxQSFp6/NFTWh8AmE6SCAT0GAKAYkkEAnoMAUCxJAIBGQEAFEsiEJARAECxJAIBGQEAFEsiEJARAECxJAIBGQEAFEsiEJARAECxJAIBGQEAFEsiEJARAECxJAIBGQEAFEsiEJARAECxJAIBGQEAFEsiEJARAECxJAIBGQEAFEsiEJARAECxJAIBGQEAFEsiEJARAECxJAIBGQEAFEsiEJARAECxJALBxkd3lpYBIGW1BgLbb7f9oO3NtlfkPP8+2yO212eP/1hHPWKCMgCkbFZdO7Y9U9IXJb1N0jZJd9leHRH3t2z6jYi4oq56SNLS448uLQNAyurMCE6XtDkitkTEXkn/KOmCGo9XiIvFAFCszkBwgqRHmsrbsnWt3mX7Xtvfsn1i3o5sX2572PbwyMhI5YpwsRgAik31xeIbJC2KiDdIulnSV/M2iohrImIoIoYGBwcrH4SMAACK1RkItktq/g9/YbZuXEQ8GREvZMW/k3RqHRUhIwCAYnUGgrskLbF9ku3Zki6StLp5A9sLmorvlPRAHRUhIwCAYrX1GoqIUdtXSLpJ0kxJ10XERtufkjQcEaslfcj2OyWNSnpK0vvqqAsZAQAUqy0QSFJErJG0pmXdJ5qWr5R0ZZ11kF7KCEJkBADQaqovFncFGQEAFEsiEHCNAACKJREIyAgAoFgSgYCMAACKJREIyAgAoFgSgYCMAACKJREIyAgAoFgSgYCMAACKJREIyAgAoFgSgYCMAACKJREIyAgAoFgSgYCMAACKJREIyAgAoFgSgWDjoztLywCQsiQCQUxQBoCUJREIlh5/dGkZAFKWRCDgYjEAFEsiEHCxGACKJREIuFgMAMWSCAQju14oLQNAypIIBANzDy8tA0DKkggE9BoCgGJJBAKuEQBAsSQCwabHd5WWASBlSQSCp57bW1oGgJQlEQiOOWp2aRkAUpZEIAAAFEsiEGzfuae0DAApSyIQvDC6r7QMAClLIhAAAIolEQhGR/eXlgEgZUkEguf37istA0DKkggEL+6L0jIApCyJQMCtKgGgWK2BwPbbbT9oe7PtFTnPH277G9nza20vqrM+AICD1RYIbM+U9EVJ50k6WdLFtk9u2ewySU9HxKsl/Q9Jf15XfQAA+erMCE6XtDkitkTEXkn/KOmClm0ukPTVbPlbkt5q2wIAdE2dgeAESY80lbdl63K3iYhRSTslHdvpipy9ZKC0DAAp64mLxbYvtz1se3hkZKTy61ddtkxnLxnQEYfN0NlLBrTqsmU11BIAetOsGve9XdKJTeWF2bq8bbbZniXpaElPtu4oIq6RdI0kDQ0NTarTD1/+AJCvzozgLklLbJ9ke7akiyStbtlmtaRLs+V3S/q/EUHvTgDootoygogYtX2FpJskzZR0XURstP0pScMRsVrStZK+ZnuzpKfUCBYAgC6q89SQImKNpDUt6z7RtLxH0n+osw4AgHI9cbEYAFAfAgEAJI5AAACJc6910rE9IunhSb58QNKODlZnuunn9tG23tXP7eultr0yIgbznui5QHAobA9HxNBU16Mu/dw+2ta7+rl9/dI2Tg0BQOIIBACQuNQCwTVTXYGa9XP7aFvv6uf29UXbkrpGAAA4WGoZAQCgBYEAABKXTCCY6P7J04ntrbbvs73e9nC27hjbN9velP2cn6237b/J2nWv7VOa9nNptv0m25c2rT812//m7LW13RXO9nW2n7C9oWld7W0pOkaX2vdJ29uz92+97fObnrsyq+uDtn+raX3u5zObvXdttv4b2Uy+Xbnft+0Tbf/I9v22N9r+cLa+59+/krb1xXtXWUT0/UON2U8fkrRY0mxJ90g6earrVVLfrZIGWtb9haQV2fIKSX+eLZ8v6fuSLOkMSWuz9cdI2pL9nJ8tz8+euzPb1tlrz6uxLWdLOkXShm62pegYXWrfJyV9LGfbk7PP3uGSTso+kzPLPp+S/reki7LlqyV9IFv+I0lXZ8sXSfpGDW1bIOmUbHmupJ9mbej596+kbX3x3lX+fUx1BbrSSOlMSTc1la+UdOVU16ukvlt1cCB4UNKCbHmBpAez5S9Lurh1O0kXS/py0/ovZ+sWSPrXpvUHbFdTexbpwC/K2ttSdIwuta/oy+SAz50aU7SfWfT5zL4cd0ia1fo5Hntttjwr2841v4//JOlt/fb+tbStL9+7iR6pnBpq5/7J00lI+oHtdbYvz9YdFxGPZcu/kHRctlzUtrL123LWd1M32lJ0jG65Ijs9cl3TaY2q7TtW0jPRuJ938/oD9hU13u97THb64s2S1qrP3r+Wtkl99t61I5VA0GvOiohTJJ0n6YO2z25+Mhr/SvRFv99utGUKfl9fkvQqSW+S9Jikz3Xx2B1ne46kb0v6SEQ82/xcr79/OW3rq/euXakEgnbunzxtRMT27OcTkr4r6XRJj9teIEnZzyeyzYvaVrZ+Yc76bupGW4qOUbuIeDwi9kXEfkl/q8b7J1Vv35OS5rlxP+/m9QfsyyX3+z5Utg9T44vy+oj4Tra6L96/vLb103tXRSqBoJ37J08Lto+yPXdsWdK5kjbowPs7X6rGOU1l6y/JemycIWlnllLfJOlc2/Oz9PZcNc5RPibpWdtnZD00LmnaV7d0oy1Fx6jd2BdY5kI13r+xOl2U9Ro5SdISNS6W5n4+s/+Ef6TG/bylg39Xtd7vO/udXivpgYj4fNNTPf/+FbWtX967yqbyAkU3H2r0aPipGlf4Pz7V9Smp52I1eh7cI2njWF3VOIf4Q0mbJP0fScdk6y3pi1m77pM01LSvP5C0OXu8v2n9kBof8IckfUE1XqiS9HU1UuwX1ThPelk32lJ0jC6172tZ/e9V449+QdP2H8/q+qCaemsVfT6zz8OdWbu/KenwbP0RWXlz9vziGtp2lhqnZO6VtD57nN8P719J2/rivav6YIoJAEhcKqeGAAAFCAQAkDgCAQAkjkAAAIkjEABA4ggESJbtn2Q/F9l+b4f3fVXesYDpiO6jSJ7tc9SYaOwdFV4zK16aRybv+d0RMacD1QNqR0aAZNnenS2ulPSWbP75/2x7pu3P2r4rm3zsP2Xbn2P7VturJd2frfteNjngxrEJAm2vlHRktr/rm4+Vjbr9rO0NbszD/56mff/Y9rds/6vt67PRr0DtZk28CdD3VqgpI8i+0HdGxGm2D5d0u+0fZNueImlpRPwsK/9BRDxl+0hJd9n+dkSssH1FRLwp51j/Xo0Jzd4oaSB7zS3Zc2+W9DpJj0q6XdJvSLqt040FWpERAAc7V405c9arMTXxsWrMLSNJdzYFAUn6kO17JN2hxkRiS1TuLElfj8bEZo9L+hdJpzXte1s0Jjxbr8Z9DoDakREAB7OkP46Imw5Y2biW8FxL+d+pcZOR523/WI15ZCbrhablfeLvE11CRgBIu9S4XeGYmyR9IJumWLZ/NZsJttXRkp7OgsBr1Ljl4pgXx17f4lZJ78muQwyqcavLOzvSCmCS+I8DaMw0uS87xfMVSX+txmmZu7MLtiOSfjvndf8s6Q9tP6DGjJR3ND13jaR7bd8dEb/btP67aty28B41Zr/8rxHxiyyQAFOC7qMAkDhODQFA4ggEAJA4AgEAJI5AAACJIxAAQOIIBACQOAIBACTu/wP+X7FyXxChqQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for k, v in np_stats_tr.items():\n",
    "    v = smooth(v)\n",
    "    plt.plot(np.arange(1, v.size + 1), v, '.')    \n",
    "    plt.ylabel(f'Training {k}')\n",
    "    plt.xlabel('iteration')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "FY26XI0FzUm8"
   },
   "source": [
    "# Validation Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "metric          mean         min\n",
      "--------  ----------  ----------\n",
      "val_nll    167.623     167.446\n",
      "val_bpd     24.1828     24.1573\n",
      "val_ELBO  -172.578    -173.142\n",
      "val_D      170.866     170.175\n",
      "val_R        1.71205     1.69032\n",
      "val_R_Z      1.71205     1.69032\n"
     ]
    }
   ],
   "source": [
    "print(tabulate(\n",
    "    [(k, np.mean(v[-100:]), np.min(v[-100:])) for k, v in np_stats_val.items()],\n",
    "    headers=['metric', 'mean', 'min']\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 541
    },
    "id": "XoLBOF45yivl",
    "outputId": "d1fa5183-3cec-428c-d8d2-cb2bf72cd44f",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for k, v in np_stats_val.items():\n",
    "    plt.plot(np.arange(1, v.size + 1), v, 'o')\n",
    "    plt.ylabel(f'Validation {k}')\n",
    "    plt.xlabel('epoch')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "metric          mean        std\n",
      "--------  ----------  ---------\n",
      "IS-NLL     167.782\n",
      "IS-BPD      24.2059\n",
      "ELBO      -172.796    48.6614\n",
      "D          171.09     48.8815\n",
      "R            1.70589   0.450678\n",
      "R_Z          1.70589   0.450678\n"
     ]
    }
   ],
   "source": [
    "rows = [('IS-NLL', val_metrics[0], None), ('IS-BPD', val_metrics[1], None)]\n",
    "val_DR = val_metrics[2]\n",
    "for k, v in val_DR.items():\n",
    "    rows.append((k, v.mean(), v.std()))\n",
    "print(tabulate(rows, headers=['metric', 'mean', 'std']))    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = plt.hist(val_DR['D'], bins='auto')\n",
    "_ = plt.xlabel('D')\n",
    "plt.show()\n",
    "\n",
    "_ = plt.hist(val_DR['R'], bins='auto')\n",
    "_ = plt.xlabel('R')\n",
    "plt.show()\n",
    "\n",
    "if state.vae.p.z_dim:\n",
    "    _ = plt.hist(val_DR['R_Z'], bins='auto')\n",
    "    _ = plt.xlabel('R(Z)')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ndBexD8IzXDi"
   },
   "source": [
    "# Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's good to check that the aggregated posterior is reasonably close to the prior, when this is not the case, we might need to check the VAE. It's not obvious what might cause such a thing, but it could be due to local optimality, which in turn may be due to too noisy gradient estimates. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch_two_sample as t2s\n",
    "from analysis import collect_samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "prior, posterior = collect_samples(state.vae, get_batcher(valid_loader, args), args, num_samples=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When thing we can do is to check a test statistics, such as MMD, low values indicate the two samples are closer, though note MMD cannot be used to 'accept' the null hypothesis (that the two samples come from the same distribution). Take this as just a sanity check, not as a certificate. \n",
    "\n",
    "It's unclear what hyperparameters to use, so we compute the MMD statistic over a range of values and plot the distribution of results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for rv, dim in [('z', state.p.z_dim)]:\n",
    "    if dim == 0:\n",
    "        continue\n",
    "    p_f = np.stack(prior[rv]).reshape(-1, dim)\n",
    "    q_f = np.stack(posterior[rv]).reshape(-1, dim)\n",
    "    mmd = t2s.statistics_diff.MMDStatistic(p_f.shape[0], q_f.shape[0])\n",
    "    v = np.array([mmd(torch.tensor(p_f), torch.tensor(q_f), [alpha]).cpu().numpy() for alpha in np.random.gamma(10., 1./10, size=20)])\n",
    "\n",
    "    _ = plt.hist(v, color='blue', alpha=0.3, label='')\n",
    "    _ = plt.axvline(x=v.mean(), c='blue')\n",
    "    _ = plt.xlabel(f\"MMD {rv}\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## KL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "DasiABbHu5mc",
    "outputId": "4259154c-0094-4078-ff1c-896c02b9680e",
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For a trained VAE: \n",
      " 1. We want to see that KL(Z|x || Z), KL(F|x || F), and KL(Y|f,x || Y|f) are generally > 0 for any x ~ D.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 2. But, marginally, we expect E_X[Z|X] ~ Z E_X[F|X] ~ F and E_FX[Y|F,X] ~ E_F[Y|F].\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare_marginals(state.vae, get_batcher(valid_loader, args), args, cols=5, num_samples=num_samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Posterior and Prior Samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "kcNTB64xhrYx",
    "outputId": "94a41323-768c-4bac-cddd-1e728ab474c4",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare_samples(state.vae, get_batcher(valid_loader, args), args, N=5, num_figs=3, num_samples=100, \n",
    "                filename=plots_dir / 'posterior-grid')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TSNE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "id": "dpY7GkEQhrYx"
   },
   "outputs": [],
   "source": [
    "from analysis import samples_per_digit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "id": "OSgvWiwy86Is"
   },
   "outputs": [],
   "source": [
    "f, y, z, x, marginal_f, scores, concs = samples_per_digit(\n",
    "    state.vae, get_batcher(valid_loader, args, onehot=False), \n",
    "    args, return_marginal=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((10, 458, 0), (10, 0), (10, 458, 10), (10, 10), (10, 458, 784), (10, 784))"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f.shape, f.mean(1).shape, z.shape, z.mean(1).shape, x.shape, x.mean(1).shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((10, 458, 0), (10, 0), (10, 458, 0), (10, 0), (10, 458, 0), (10, 0))"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "marginal_f.shape, marginal_f.mean(1).shape, scores.shape, scores.mean(1).shape, concs.shape, concs.mean(1).shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's appreciate the sparsity of the samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.manifold import TSNE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's appreciate structure in latent space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "def tsne_plot(samples, title, legend=True, filename=None):\n",
    "    \"\"\"\n",
    "    :param samples: [10, N,D]\n",
    "    \"\"\"\n",
    "    assert samples.shape[0] == 10, \"I need 10 digits\"\n",
    "    D = samples.shape[-1]\n",
    "    assert D > 0, \"0-dimensional features?\"\n",
    "    tsne_results = TSNE(n_components=2, random_state=1).fit_transform(samples.reshape(-1, D)).reshape(10, -1, 2)\n",
    "    plt.figure(figsize=(6, 5))\n",
    "    colors = 'r', 'g', 'b', 'c', 'm', 'y', 'k', 'gray', 'orange', 'purple'\n",
    "    for i, c in zip(np.arange(10), colors):\n",
    "        plt.scatter(tsne_results[i, :, 0], tsne_results[i, :, 1], c=c, label=i)\n",
    "    plt.xticks([], [])    \n",
    "    plt.yticks([], [])\n",
    "    if legend:\n",
    "        #plt.legend(bbox_to_anchor=(1, 0.85), loc='upper left', framealpha=0.5)\n",
    "        plt.legend(loc='lower right', framealpha=1.0, ncol=2, fontsize='small')\n",
    "    #plt.title(title)\n",
    "    \n",
    "    if filename:\n",
    "        plt.savefig(f'{filename}.pdf', bbox_inches='tight') \n",
    "    plt.show()\n",
    "\n",
    "    return tsne_results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.z_dim:\n",
    "    _ = tsne_plot(z, r\"$Z|X_{obs}$\", filename=plots_dir / 'tsne-z')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Marginal samples per class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "marginal_x = x.mean(1)\n",
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(marginal_x[c].reshape(args.height, args.width), cmap='Greys')\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "for ax in axs.flat:\n",
    "    ax.label_outer()\n",
    "fig.savefig(plots_dir / 'posterior-marginal-samples.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Samples from Corner"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As the Dirichlet does not include the vertices of the simplex, we need to poke onehot vectors inside of it, which we do by adding some small random noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "def probe_corners(vae, batcher, args, num_samples=None): \n",
    "    if num_samples is None:\n",
    "        num_samples = args.num_samples\n",
    "\n",
    "    with torch.no_grad():\n",
    "        vae.eval()        \n",
    "    \n",
    "        samples = [defaultdict(list) for _ in range(vae.p.z_dim)]\n",
    "\n",
    "        for i in range(vae.p.z_dim):\n",
    "            z = torch.zeros(vae.p.z_dim, device=torch.device(args.device))\n",
    "            z[i] = 1.0\n",
    "            z = z.expand((num_samples, vae.p.z_dim))\n",
    "            \n",
    "            f = vae.p.F().expand((num_samples,)).sample()\n",
    "            y = vae.p.Y(f).sample()\n",
    "            \n",
    "            # [S, K]\n",
    "            x = vae.p.X(z=z, y=y).sample()\n",
    "                        \n",
    "            # [B, K]\n",
    "            samples[i]['y'] = y.cpu().numpy()\n",
    "            samples[i]['z'] = z.cpu().numpy()\n",
    "            samples[i]['x'] = x.cpu().numpy()\n",
    "\n",
    "    return samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "corner_samples = probe_corners(state.vae, get_batcher(valid_loader, args), args, num_samples=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 784)"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corner_samples[0]['x'].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(corner_samples[c]['x'].mean(0).reshape(args.height, args.width), cmap='Greys')\n",
    "    #axs[c // 5, c % 5].set_xlabel(c) #set_title(f\"X'|X={c}\")\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "for ax in axs.flat:\n",
    "    ax.label_outer()\n",
    "#_ = fig.suptitle(r'Samples from vertices')  \n",
    "fig.savefig(plots_dir / 'prior-corner-samples.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "accelerator": "GPU",
  "colab": {
   "collapsed_sections": [],
   "include_colab_link": true,
   "name": "mixed-rv-MNIST.ipynb",
   "provenance": [],
   "toc_visible": true
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  },
  "toc-autonumbering": false,
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "026c452c13f74a0aa071ab5869027a7a": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HTMLModel",
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      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_2992689582d94ea0b3e2a166461861d3",
      "placeholder": "​",
      "style": "IPY_MODEL_1158c2e933694df38bce84f1c1e4b8f7",
      "value": " 9913344/? [00:15&lt;00:00, 628891.26it/s]"
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    "05389b71a6b545cf9b61d9f63f79c894": {
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      "align_content": null,
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      "border": null,
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